Solve the triangles (find all parts that are not given).
1. a

27, b

19, c

24
5.
3. a

1, b

5, c

4
63 , a

8.6, c

11.1
Name ____________________________ Period _____
2. 35 , a

43, c

19
4. a

9.8, b

12, c

23

Find the area of the triangle.
6. 52 , b

14 m, c

21 m 7. 47 , b

32 ft, c

19 ft
Determine if a triangle can be formed and use Heron’s formula to find the area.
8. a

4, b

5, c

8 9. a

23, b

19, c

12
10. a

33.4, b

28.5, c

22.3
11. A parallelogram has sides of 18 and 26 ft and an angle of 39⁰. Find the shorter diagonal.
12. Find the area of a regular hexagon inscribed in a circle of radius 12 inches.
13. Find the area of a regular nonagon (9 sides) inscribed in a circle of radius 10 inches.

A
14. Find the area of a regular hexagon circumscribed about a circle of radius 12 inches. (Hint: start by finding the distance from a vertex of the hexagon to the center of the circle.)
15. Find the area of a regular nonagon (9 sides) circumscribed about a circle of radius 10 inches.
16. Juan wants to find the distance between two points A and B on opposite sides of a building. He locates a point C that is 110 ft from A and 160 ft from B. If the angle at C is 54⁰, find distance AB.
A B
110 ft
54 ⁰
160 ft
C
17. Tony must find the distance from A to B on opposite sides of a lake. He locates a point C that is 860 ft from A and
175 ft from B. He measures the angle at C to be 78⁰. Find distance AB.
B
175 ft
78 ⁰
C
860 ft